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330221012224 = 2829137324673
BaseRepresentation
bin1001100111000101011…
…01001100010100000000
31011120100200002111220011
410303202231030110000
520402243034342344
6411411302154304
732600120201605
oct4634255142400
91146320074804
10330221012224
11118056175064
1253bba422994
13251a7c2706c
1411da8a7c6ac
1588ca8e2d34
hex4ce2b4c500

330221012224 has 72 divisors (see below), whose sum is σ = 686860833960. Its totient is φ = 158252924928.

The previous prime is 330221012213. The next prime is 330221012287. The reversal of 330221012224 is 422210122033.

It can be written as a sum of positive squares in 4 ways, for example, as 48013574400 + 282207437824 = 219120^2 + 531232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330221012195 and 330221012204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 854752 + ... + 1179424.

It is an arithmetic number, because the mean of its divisors is an integer number (9539733805).

Almost surely, 2330221012224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330221012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343430416980).

330221012224 is an abundant number, since it is smaller than the sum of its proper divisors (356639821736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330221012224 is a wasteful number, since it uses less digits than its factorization.

330221012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324855 (or 324841 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 330221012224 its reverse (422210122033), we get a palindrome (752431134257).

The spelling of 330221012224 in words is "three hundred thirty billion, two hundred twenty-one million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 137 232 256 274 464 548 928 1096 1856 2192 3712 3973 4384 7424 7946 8768 15892 17536 31784 35072 63568 127136 254272 324673 508544 649346 1017088 1298692 2597384 5194768 9415517 10389536 18831034 20779072 37662068 41558144 44480201 75324136 83116288 88960402 150648272 177920804 301296544 355841608 602593088 711683216 1205186176 1289925829 1423366432 2410372352 2579851658 2846732864 5159703316 5693465728 10319406632 11386931456 20638813264 41277626528 82555253056 165110506112 330221012224